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General Relativity and Quantum Cosmology

Title:
The edge of locality: visualizing a black hole from the inside

Abstract: We illustrate and discuss the view seen by an observer inside the horizon of
a Schwarzschild black hole. The view as the observer approaches the central
singularity is of particular interest because, according to ideas arising from
"observer complementarity," points in opposite directions along the observer's
past lightcone are at "the edge of locality," where standard flat-space
quantum-field-theory commutation rules may be at the brink of failure. Near the
singularity, the observer's view is aberrated by the diverging tidal force into
a horizontal plane. The view in the horizontal plane is highly blueshifted, but
all directions other than horizontal appear highly redshifted. We argue that
the affine distance provides a canonical measure of distance along a light ray
from emitter to observer. Since the affine distance is not directly measurable
by the observer, we also consider perceptual distances, and argue that the
trinocular distance (binocular distance is inadequate) provides an estimate of
affine distance that would allow tree-leaping apes to survive in highly curved
spacetime.